The Second Petition: Thy kingdom come. What does this mean? The kingdom of God certainly comes by itself without our prayer, but we pray in this petition that it may come to us also.

How does God’s kingdom come? God’s kingdom comes when our heavenly Father gives us His Holy Spirit, so that by His grace we believe His holy Word and lead godly lives here in time and there in eternity.

The Third Petition: Thy will be done on earth as it is in heaven. What does this mean? The good and gracious will of God is done even without our prayer, but we pray in this petition that it may be done among us also.
How is God’s will done?

God’s will is done when He breaks and hinders every evil plan and purpose of the devil, the world, and our sinful nature, which do not want us to hallow God’s name or let His kingdom come; and when He strengthens and keeps us firm in His Word and faith until we die. This is His good and gracious will.